Finding the Fourth Proportional to 2,785.42, 4,157.80 and 2,582.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,785.42 : 4,157.80 = 2,582.38 : x
2. Step 2: Convert to fraction form
   2,785.42/4,157.80 = 2,582.38/x
3. Step 3: Cross multiply
   2,785.42x = 4,157.80 × 2,582.38
4. Step 4: Simplify right side
   2,785.42x = 10,737,019.56
5. Step 5: Solve for x
   x = 10,737,019.56/2,785.42
6. Step 6: Final answer
   x = 3,854.72